11205200 has 60 divisors (see below), whose sum is σ = 27273180. Its totient is φ = 4423680.

The previous prime is 11205197. The next prime is 11205211. The reversal of 11205200 is 250211.

11205200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 913936 + 10291264 = 956^2 + 3208^2 .

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43472 + ... + 43728.

It is an arithmetic number, because the mean of its divisors is an integer number (454553).

Almost surely, 2^11205200 is an apocalyptic number.

11205200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11205200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13636590).

11205200 is an abundant number, since it is smaller than the sum of its proper divisors (16067980).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11205200 is a wasteful number, since it uses less digits than its factorization.

11205200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 11205200 is about 3347.4169145776. The cubic root of 11205200 is about 223.7724091452.

Adding to 11205200 its reverse (250211), we get a palindrome (11455411).

The spelling of 11205200 in words is "eleven million, two hundred five thousand, two hundred".